Locally tensor conformal FDTD method for modeling arbitrary dielectric surfaces

A Radially-Dependent Dispersive Finite-Difference Time-Domain Method for the Evaluation of Electromagnetic Cloaks

“…For more accurate results, the overlined field components D y , E y , D x , E x are calculated with a locally spatial averaging technique [39]. This method is employed because the x and y field components are located in different mesh points across the FDTD grid.…”

“…This method is employed because the x and y field components are located in different mesh points across the FDTD grid. Their averaged values are computed from the next formula [39]:…”

A stable FDTD algorithm for non-diagonal, anisotropic dielectrics

“…Other articles have offered methods for simulating isotropic dielectrics with sharp interfaces: for example [10][11][12] describe methods that use effective diagonal dielectrics, while [13] uses an effective tensor dielectric in 2D simulations. There are also methods that, rather than using an effective dielectric in each grid cell, alter the shapes of the cells to coincide with the dielectric shape, such as [14], which has interesting parallels to this paper, running into an accuracy versus stability trade-off, thwarted by the need to collocate different field components.…”

A Z-transform matrix formulation for a tensor FDTD method

“…The simple structure of this method avoids complex mathematic formulations but is vulnerable to errors from the regular homogeneous cubes that make up the problem space. Recently, there has been activity to improve the accuracy without leaving the regular cubic structure of FDTD [4][5][6]. However, a bottle-neck in the use of this approach with lossy media was the fact that a complex matrix had to be inverted.…”